FUNCTIONS FROM TABLES, Part Three

Find the function, $f(x)$, that fits the table shown below.

1. What kind of function does this appear to be?

   Hint (a):

   Is it linear or quadratic? Is it exponential? Or trigometric?

   Steps (a):

   Compute the finite differences and look for a pattern.

2. How does the function change?

3. Do you know the value of $f(0.5)$?

   Hint (c):

   Extend the pattern.